LCM of 632, 529, 225, 510, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 529, 225, 510, 240 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 632, 529, 225, 510, 240. So, keep reading to learn more.
Given numbers are 632,529,225,510,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,529,225,510,240 is 2557609200.
Find LCM of 632,529,225,510,240 with Prime Factorization
| 2 | 632, 529, 225, 510, 240 |
| 2 | 316, 529, 225, 255, 120 |
| 2 | 158, 529, 225, 255, 60 |
| 3 | 79, 529, 225, 255, 30 |
| 5 | 79, 529, 75, 85, 10 |
| 79, 529, 15, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 79 x 529 x 15 x 17 x 2 = 2557609200
Therefore, the lowest common multiple of 632,529,225,510,240 is 2557609200.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
632 x 529 x 225 x 510 x 240 = 9207393120000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
632 : 1, 2, 4, 8, 79, 158, 316, 632
529 : 1, 23, 529
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,529,225,510,240, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
529:23x 23
225:3x 3x 5x 5
510:2x 3x 5x 17
240:2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 5x 5 = 3600
Therefore, the value for common factors is 3600.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 9207393120000/(1x3600)
LCM = 9207393120000/3600
LCM = 2557609200
Thus, we can understand that the LCM of 632,529,225,510,240 is 2557609200.
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FAQs on LCM of 632, 529, 225, 510, 240
1. What is the LCM of 632, 529, 225, 510, 240?
Answer: LCM of 632, 529, 225, 510, 240 is 2557609200.
2. How to calculate the LCM of 632, 529, 225, 510, 240?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 632, 529, 225, 510, 240.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.